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1121046508512 = 253472315831697
BaseRepresentation
bin10000010100000011100…
…101000011001111100000
310222011121122210011210000
4100110003211003033200
5121331400401233022
62215000205140000
7143664402045450
oct20240345031740
93864548704700
101121046508512
113a248458a387
1216132425a600
13819392251c8
143c38a765d60
151e2635386ac
hex105039433e0

1121046508512 has 480 divisors, whose sum is σ = 3936588429312. Its totient is φ = 305998995456.

The previous prime is 1121046508469. The next prime is 1121046508541. The reversal of 1121046508512 is 2158056401211.

1121046508512 is a `hidden beast` number, since 112 + 1 + 0 + 465 + 0 + 85 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 660604048 + ... + 660605744.

Almost surely, 21121046508512 is an apocalyptic number.

1121046508512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121046508512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968294214656).

1121046508512 is an abundant number, since it is smaller than the sum of its proper divisors (2815541920800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1121046508512 is a wasteful number, since it uses less digits than its factorization.

1121046508512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 1121046508512 in words is "one trillion, one hundred twenty-one billion, forty-six million, five hundred eight thousand, five hundred twelve".